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TestUtils (Commons Math 3.2 API)
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org.apache.commons.math3.stat.inference</FONT>
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Class TestUtils</H2>
<PRE>
<A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</A>
  <IMG SRC="../../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math3.stat.inference.TestUtils</B>
</PRE>
<HR>
<DL>
<DT><PRE>public class <B>TestUtils</B><DT>extends <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A></DL>
</PRE>

<P>
A collection of static methods to create inference test instances or to
 perform inference tests.
<P>

<P>
<DL>
<DT><B>Since:</B></DT>
  <DD>1.1</DD>
<DT><B>Version:</B></DT>
  <DD>$Id: TestUtils.java 1422313 2012-12-15 18:53:41Z psteitz $</DD>
</DL>
<HR>

<P>

<!-- ========== METHOD SUMMARY =========== -->

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<TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
<TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2">
<B>Method Summary</B></FONT></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquare(double[], long[])">chiSquare</A></B>(double[]&nbsp;expected,
          long[]&nbsp;observed)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquare(long[][])">chiSquare</A></B>(long[][]&nbsp;counts)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareDataSetsComparison(long[], long[])">chiSquareDataSetsComparison</A></B>(long[]&nbsp;observed1,
                            long[]&nbsp;observed2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareTest(double[], long[])">chiSquareTest</A></B>(double[]&nbsp;expected,
              long[]&nbsp;observed)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareTest(double[], long[], double)">chiSquareTest</A></B>(double[]&nbsp;expected,
              long[]&nbsp;observed,
              double&nbsp;alpha)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareTest(long[][])">chiSquareTest</A></B>(long[][]&nbsp;counts)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareTest(long[][], double)">chiSquareTest</A></B>(long[][]&nbsp;counts,
              double&nbsp;alpha)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareTestDataSetsComparison(long[], long[])">chiSquareTestDataSetsComparison</A></B>(long[]&nbsp;observed1,
                                long[]&nbsp;observed2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareTestDataSetsComparison(long[], long[], double)">chiSquareTestDataSetsComparison</A></B>(long[]&nbsp;observed1,
                                long[]&nbsp;observed2,
                                double&nbsp;alpha)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#g(double[], long[])">g</A></B>(double[]&nbsp;expected,
  long[]&nbsp;observed)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#gDataSetsComparison(long[], long[])">gDataSetsComparison</A></B>(long[]&nbsp;observed1,
                    long[]&nbsp;observed2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#gTest(double[], long[])">gTest</A></B>(double[]&nbsp;expected,
      long[]&nbsp;observed)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#gTest(double[], long[], double)">gTest</A></B>(double[]&nbsp;expected,
      long[]&nbsp;observed,
      double&nbsp;alpha)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#gTestDataSetsComparison(long[], long[])">gTestDataSetsComparison</A></B>(long[]&nbsp;observed1,
                        long[]&nbsp;observed2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#gTestDataSetsComparison(long[], long[], double)">gTestDataSetsComparison</A></B>(long[]&nbsp;observed1,
                        long[]&nbsp;observed2,
                        double&nbsp;alpha)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#gTestIntrinsic(double[], long[])">gTestIntrinsic</A></B>(double[]&nbsp;expected,
               long[]&nbsp;observed)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#homoscedasticT(double[], double[])">homoscedasticT</A></B>(double[]&nbsp;sample1,
               double[]&nbsp;sample2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#homoscedasticT(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)">homoscedasticT</A></B>(<A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats1,
               <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#homoscedasticTTest(double[], double[])">homoscedasticTTest</A></B>(double[]&nbsp;sample1,
                   double[]&nbsp;sample2)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#homoscedasticTTest(double[], double[], double)">homoscedasticTTest</A></B>(double[]&nbsp;sample1,
                   double[]&nbsp;sample2,
                   double&nbsp;alpha)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#homoscedasticTTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)">homoscedasticTTest</A></B>(<A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats1,
                   <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#oneWayAnovaFValue(java.util.Collection)">oneWayAnovaFValue</A></B>(<A HREF="http://download.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</A>&lt;double[]&gt;&nbsp;categoryData)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#oneWayAnovaPValue(java.util.Collection)">oneWayAnovaPValue</A></B>(<A HREF="http://download.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</A>&lt;double[]&gt;&nbsp;categoryData)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#oneWayAnovaTest(java.util.Collection, double)">oneWayAnovaTest</A></B>(<A HREF="http://download.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</A>&lt;double[]&gt;&nbsp;categoryData,
                double&nbsp;alpha)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#pairedT(double[], double[])">pairedT</A></B>(double[]&nbsp;sample1,
        double[]&nbsp;sample2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#pairedTTest(double[], double[])">pairedTTest</A></B>(double[]&nbsp;sample1,
            double[]&nbsp;sample2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#pairedTTest(double[], double[], double)">pairedTTest</A></B>(double[]&nbsp;sample1,
            double[]&nbsp;sample2,
            double&nbsp;alpha)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#rootLogLikelihoodRatio(long, long, long, long)">rootLogLikelihoodRatio</A></B>(long&nbsp;k11,
                       long&nbsp;k12,
                       long&nbsp;k21,
                       long&nbsp;k22)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#t(double[], double[])">t</A></B>(double[]&nbsp;sample1,
  double[]&nbsp;sample2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#t(double, double[])">t</A></B>(double&nbsp;mu,
  double[]&nbsp;observed)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#t(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary)">t</A></B>(double&nbsp;mu,
  <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#t(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)">t</A></B>(<A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats1,
  <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(double[], double[])">tTest</A></B>(double[]&nbsp;sample1,
      double[]&nbsp;sample2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(double[], double[], double)">tTest</A></B>(double[]&nbsp;sample1,
      double[]&nbsp;sample2,
      double&nbsp;alpha)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(double, double[])">tTest</A></B>(double&nbsp;mu,
      double[]&nbsp;sample)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(double, double[], double)">tTest</A></B>(double&nbsp;mu,
      double[]&nbsp;sample,
      double&nbsp;alpha)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary)">tTest</A></B>(double&nbsp;mu,
      <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary, double)">tTest</A></B>(double&nbsp;mu,
      <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats,
      double&nbsp;alpha)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)">tTest</A></B>(<A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats1,
      <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats2)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary, double)">tTest</A></B>(<A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats1,
      <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats2,
      double&nbsp;alpha)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
</TABLE>
&nbsp;<A NAME="methods_inherited_from_class_java.lang.Object"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor">
<TH ALIGN="left"><B>Methods inherited from class java.lang.<A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A></B></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</A></CODE></TD>
</TR>
</TABLE>
&nbsp;
<P>

<!-- ============ METHOD DETAIL ========== -->

<A NAME="method_detail"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
<TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2">
<B>Method Detail</B></FONT></TH>
</TR>
</TABLE>

<A NAME="homoscedasticT(double[], double[])"><!-- --></A><H3>
homoscedasticT</H3>
<PRE>
public static double <B>homoscedasticT</B>(double[]&nbsp;sample1,
                                    double[]&nbsp;sample2)
                             throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#homoscedasticT(double[], double[])"><CODE>TTest.homoscedasticT(double[], double[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="homoscedasticT(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><!-- --></A><H3>
homoscedasticT</H3>
<PRE>
public static double <B>homoscedasticT</B>(<A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats1,
                                    <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats2)
                             throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#homoscedasticT(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><CODE>TTest.homoscedasticT(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="homoscedasticTTest(double[], double[], double)"><!-- --></A><H3>
homoscedasticTTest</H3>
<PRE>
public static boolean <B>homoscedasticTTest</B>(double[]&nbsp;sample1,
                                         double[]&nbsp;sample2,
                                         double&nbsp;alpha)
                                  throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                         <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                                         <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A>,
                                         <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#homoscedasticTTest(double[], double[], double)"><CODE>TTest.homoscedasticTTest(double[], double[], double)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="homoscedasticTTest(double[], double[])"><!-- --></A><H3>
homoscedasticTTest</H3>
<PRE>
public static double <B>homoscedasticTTest</B>(double[]&nbsp;sample1,
                                        double[]&nbsp;sample2)
                                 throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                        <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                                        <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#homoscedasticTTest(double[], double[])"><CODE>TTest.homoscedasticTTest(double[], double[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="homoscedasticTTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><!-- --></A><H3>
homoscedasticTTest</H3>
<PRE>
public static double <B>homoscedasticTTest</B>(<A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats1,
                                        <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats2)
                                 throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                        <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                                        <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#homoscedasticTTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><CODE>TTest.homoscedasticTTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="pairedT(double[], double[])"><!-- --></A><H3>
pairedT</H3>
<PRE>
public static double <B>pairedT</B>(double[]&nbsp;sample1,
                             double[]&nbsp;sample2)
                      throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                             <A HREF="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</A>,
                             <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                             <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#pairedT(double[], double[])"><CODE>TTest.pairedT(double[], double[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="pairedTTest(double[], double[], double)"><!-- --></A><H3>
pairedTTest</H3>
<PRE>
public static boolean <B>pairedTTest</B>(double[]&nbsp;sample1,
                                  double[]&nbsp;sample2,
                                  double&nbsp;alpha)
                           throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                  <A HREF="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</A>,
                                  <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                  <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                                  <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A>,
                                  <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#pairedTTest(double[], double[], double)"><CODE>TTest.pairedTTest(double[], double[], double)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="pairedTTest(double[], double[])"><!-- --></A><H3>
pairedTTest</H3>
<PRE>
public static double <B>pairedTTest</B>(double[]&nbsp;sample1,
                                 double[]&nbsp;sample2)
                          throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                 <A HREF="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</A>,
                                 <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                 <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                                 <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#pairedTTest(double[], double[])"><CODE>TTest.pairedTTest(double[], double[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="t(double, double[])"><!-- --></A><H3>
t</H3>
<PRE>
public static double <B>t</B>(double&nbsp;mu,
                       double[]&nbsp;observed)
                throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                       <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#t(double, double[])"><CODE>TTest.t(double, double[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="t(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><!-- --></A><H3>
t</H3>
<PRE>
public static double <B>t</B>(double&nbsp;mu,
                       <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats)
                throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                       <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#t(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><CODE>TTest.t(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="t(double[], double[])"><!-- --></A><H3>
t</H3>
<PRE>
public static double <B>t</B>(double[]&nbsp;sample1,
                       double[]&nbsp;sample2)
                throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                       <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#t(double[], double[])"><CODE>TTest.t(double[], double[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="t(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><!-- --></A><H3>
t</H3>
<PRE>
public static double <B>t</B>(<A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats1,
                       <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats2)
                throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                       <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#t(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><CODE>TTest.t(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="tTest(double, double[], double)"><!-- --></A><H3>
tTest</H3>
<PRE>
public static boolean <B>tTest</B>(double&nbsp;mu,
                            double[]&nbsp;sample,
                            double&nbsp;alpha)
                     throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(double, double[], double)"><CODE>TTest.tTest(double, double[], double)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="tTest(double, double[])"><!-- --></A><H3>
tTest</H3>
<PRE>
public static double <B>tTest</B>(double&nbsp;mu,
                           double[]&nbsp;sample)
                    throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                           <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                           <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(double, double[])"><CODE>TTest.tTest(double, double[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="tTest(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary, double)"><!-- --></A><H3>
tTest</H3>
<PRE>
public static boolean <B>tTest</B>(double&nbsp;mu,
                            <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats,
                            double&nbsp;alpha)
                     throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary, double)"><CODE>TTest.tTest(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary, double)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="tTest(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><!-- --></A><H3>
tTest</H3>
<PRE>
public static double <B>tTest</B>(double&nbsp;mu,
                           <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats)
                    throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                           <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                           <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><CODE>TTest.tTest(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="tTest(double[], double[], double)"><!-- --></A><H3>
tTest</H3>
<PRE>
public static boolean <B>tTest</B>(double[]&nbsp;sample1,
                            double[]&nbsp;sample2,
                            double&nbsp;alpha)
                     throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(double[], double[], double)"><CODE>TTest.tTest(double[], double[], double)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="tTest(double[], double[])"><!-- --></A><H3>
tTest</H3>
<PRE>
public static double <B>tTest</B>(double[]&nbsp;sample1,
                           double[]&nbsp;sample2)
                    throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                           <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                           <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(double[], double[])"><CODE>TTest.tTest(double[], double[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary, double)"><!-- --></A><H3>
tTest</H3>
<PRE>
public static boolean <B>tTest</B>(<A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats1,
                            <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats2,
                            double&nbsp;alpha)
                     throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary, double)"><CODE>TTest.tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary, double)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><!-- --></A><H3>
tTest</H3>
<PRE>
public static double <B>tTest</B>(<A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats1,
                           <A HREF="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</A>&nbsp;sampleStats2)
                    throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                           <A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A>,
                           <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><CODE>TTest.tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="chiSquare(double[], long[])"><!-- --></A><H3>
chiSquare</H3>
<PRE>
public static double <B>chiSquare</B>(double[]&nbsp;expected,
                               long[]&nbsp;observed)
                        throws <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                               <A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A>,
                               <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquare(double[], long[])"><CODE>ChiSquareTest.chiSquare(double[], long[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="chiSquare(long[][])"><!-- --></A><H3>
chiSquare</H3>
<PRE>
public static double <B>chiSquare</B>(long[][]&nbsp;counts)
                        throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                               <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                               <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquare(long[][])"><CODE>ChiSquareTest.chiSquare(long[][])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="chiSquareTest(double[], long[], double)"><!-- --></A><H3>
chiSquareTest</H3>
<PRE>
public static boolean <B>chiSquareTest</B>(double[]&nbsp;expected,
                                    long[]&nbsp;observed,
                                    double&nbsp;alpha)
                             throws <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareTest(double[], long[], double)"><CODE>ChiSquareTest.chiSquareTest(double[], long[], double)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="chiSquareTest(double[], long[])"><!-- --></A><H3>
chiSquareTest</H3>
<PRE>
public static double <B>chiSquareTest</B>(double[]&nbsp;expected,
                                   long[]&nbsp;observed)
                            throws <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                                   <A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A>,
                                   <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                   <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareTest(double[], long[])"><CODE>ChiSquareTest.chiSquareTest(double[], long[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="chiSquareTest(long[][], double)"><!-- --></A><H3>
chiSquareTest</H3>
<PRE>
public static boolean <B>chiSquareTest</B>(long[][]&nbsp;counts,
                                    double&nbsp;alpha)
                             throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareTest(long[][], double)"><CODE>ChiSquareTest.chiSquareTest(long[][], double)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="chiSquareTest(long[][])"><!-- --></A><H3>
chiSquareTest</H3>
<PRE>
public static double <B>chiSquareTest</B>(long[][]&nbsp;counts)
                            throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                   <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                   <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                                   <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareTest(long[][])"><CODE>ChiSquareTest.chiSquareTest(long[][])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="chiSquareDataSetsComparison(long[], long[])"><!-- --></A><H3>
chiSquareDataSetsComparison</H3>
<PRE>
public static double <B>chiSquareDataSetsComparison</B>(long[]&nbsp;observed1,
                                                 long[]&nbsp;observed2)
                                          throws <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                                 <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                                                 <A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A></CODE><DT><B>Since:</B></DT>
  <DD>1.2</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareDataSetsComparison(long[], long[])"><CODE>ChiSquareTest.chiSquareDataSetsComparison(long[], long[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="chiSquareTestDataSetsComparison(long[], long[])"><!-- --></A><H3>
chiSquareTestDataSetsComparison</H3>
<PRE>
public static double <B>chiSquareTestDataSetsComparison</B>(long[]&nbsp;observed1,
                                                     long[]&nbsp;observed2)
                                              throws <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                                     <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                                                     <A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A>,
                                                     <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>Since:</B></DT>
  <DD>1.2</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareTestDataSetsComparison(long[], long[])"><CODE>ChiSquareTest.chiSquareTestDataSetsComparison(long[], long[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="chiSquareTestDataSetsComparison(long[], long[], double)"><!-- --></A><H3>
chiSquareTestDataSetsComparison</H3>
<PRE>
public static boolean <B>chiSquareTestDataSetsComparison</B>(long[]&nbsp;observed1,
                                                      long[]&nbsp;observed2,
                                                      double&nbsp;alpha)
                                               throws <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                                      <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                                                      <A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A>,
                                                      <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A>,
                                                      <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>Since:</B></DT>
  <DD>1.2</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareTestDataSetsComparison(long[], long[], double)"><CODE>ChiSquareTest.chiSquareTestDataSetsComparison(long[], long[], double)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="oneWayAnovaFValue(java.util.Collection)"><!-- --></A><H3>
oneWayAnovaFValue</H3>
<PRE>
public static double <B>oneWayAnovaFValue</B>(<A HREF="http://download.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</A>&lt;double[]&gt;&nbsp;categoryData)
                                throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                       <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE><DT><B>Since:</B></DT>
  <DD>1.2</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaFValue(java.util.Collection)"><CODE>OneWayAnova.anovaFValue(Collection)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="oneWayAnovaPValue(java.util.Collection)"><!-- --></A><H3>
oneWayAnovaPValue</H3>
<PRE>
public static double <B>oneWayAnovaPValue</B>(<A HREF="http://download.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</A>&lt;double[]&gt;&nbsp;categoryData)
                                throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                       <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                       <A HREF="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</A>,
                                       <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>Since:</B></DT>
  <DD>1.2</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaPValue(java.util.Collection)"><CODE>OneWayAnova.anovaPValue(Collection)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="oneWayAnovaTest(java.util.Collection, double)"><!-- --></A><H3>
oneWayAnovaTest</H3>
<PRE>
public static boolean <B>oneWayAnovaTest</B>(<A HREF="http://download.oracle.com/javase/6/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</A>&lt;double[]&gt;&nbsp;categoryData,
                                      double&nbsp;alpha)
                               throws <A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                      <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                      <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A>,
                                      <A HREF="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</A>,
                                      <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>Since:</B></DT>
  <DD>1.2</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaTest(java.util.Collection, double)"><CODE>OneWayAnova.anovaTest(Collection,double)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="g(double[], long[])"><!-- --></A><H3>
g</H3>
<PRE>
public static double <B>g</B>(double[]&nbsp;expected,
                       long[]&nbsp;observed)
                throws <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                       <A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A>,
                       <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE><DT><B>Since:</B></DT>
  <DD>3.1</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#g(double[], long[])"><CODE>GTest.g(double[], long[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="gTest(double[], long[])"><!-- --></A><H3>
gTest</H3>
<PRE>
public static double <B>gTest</B>(double[]&nbsp;expected,
                           long[]&nbsp;observed)
                    throws <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                           <A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A>,
                           <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                           <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>Since:</B></DT>
  <DD>3.1</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#gTest(double[], long[])"><CODE>GTest.gTest( double[],  long[] )</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="gTestIntrinsic(double[], long[])"><!-- --></A><H3>
gTestIntrinsic</H3>
<PRE>
public static double <B>gTestIntrinsic</B>(double[]&nbsp;expected,
                                    long[]&nbsp;observed)
                             throws <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                    <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>Since:</B></DT>
  <DD>3.1</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#gTestIntrinsic(double[], long[])"><CODE>GTest.gTestIntrinsic(double[], long[] )</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="gTest(double[], long[], double)"><!-- --></A><H3>
gTest</H3>
<PRE>
public static boolean <B>gTest</B>(double[]&nbsp;expected,
                            long[]&nbsp;observed,
                            double&nbsp;alpha)
                     throws <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A>,
                            <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>Since:</B></DT>
  <DD>3.1</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#gTest(double[], long[], double)"><CODE>GTest.gTest( double[],long[],double)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="gDataSetsComparison(long[], long[])"><!-- --></A><H3>
gDataSetsComparison</H3>
<PRE>
public static double <B>gDataSetsComparison</B>(long[]&nbsp;observed1,
                                         long[]&nbsp;observed2)
                                  throws <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                         <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                                         <A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A></CODE><DT><B>Since:</B></DT>
  <DD>3.1</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#gDataSetsComparison(long[], long[])"><CODE>GTest.gDataSetsComparison(long[], long[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="rootLogLikelihoodRatio(long, long, long, long)"><!-- --></A><H3>
rootLogLikelihoodRatio</H3>
<PRE>
public static double <B>rootLogLikelihoodRatio</B>(long&nbsp;k11,
                                            long&nbsp;k12,
                                            long&nbsp;k21,
                                            long&nbsp;k22)
                                     throws <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                            <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                                            <A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A></CODE><DT><B>Since:</B></DT>
  <DD>3.1</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#rootLogLikelihoodRatio(long, long, long, long)"><CODE>GTest.rootLogLikelihoodRatio(long, long, long, long)</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="gTestDataSetsComparison(long[], long[])"><!-- --></A><H3>
gTestDataSetsComparison</H3>
<PRE>
public static double <B>gTestDataSetsComparison</B>(long[]&nbsp;observed1,
                                             long[]&nbsp;observed2)
                                      throws <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                             <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                                             <A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A>,
                                             <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>Since:</B></DT>
  <DD>3.1</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#gTestDataSetsComparison(long[], long[])"><CODE>GTest.gTestDataSetsComparison(long[], long[])</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="gTestDataSetsComparison(long[], long[], double)"><!-- --></A><H3>
gTestDataSetsComparison</H3>
<PRE>
public static boolean <B>gTestDataSetsComparison</B>(long[]&nbsp;observed1,
                                              long[]&nbsp;observed2,
                                              double&nbsp;alpha)
                                       throws <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                              <A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A>,
                                              <A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A>,
                                              <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A>,
                                              <A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD><DL>

<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE><DT><B>Since:</B></DT>
  <DD>3.1</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#gTestDataSetsComparison(long[], long[], double)"><CODE>GTest.gTestDataSetsComparison(long[],long[],double)</CODE></A></DL>
</DD>
</DL>
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